Properties

Label 442176bx
Number of curves $1$
Conductor $442176$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bx1")
 
E.isogeny_class()
 

Elliptic curves in class 442176bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
442176.bx1 442176bx1 \([0, -1, 0, -261, 519]\) \(262144/141\) \(1061664576\) \([]\) \(190080\) \(0.42306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 442176bx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 442176bx do not have complex multiplication.

Modular form 442176.2.a.bx

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 3 q^{11} - 4 q^{13} + q^{15} - 8 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display